{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\jacky.huang\\Anaconda3\\lib\\site-packages\\matplotlib\\backends\\backend_agg.py:238: RuntimeWarning: Glyph 8722 missing from current font.\n",
      "  font.set_text(s, 0.0, flags=flags)\n",
      "C:\\Users\\jacky.huang\\Anaconda3\\lib\\site-packages\\matplotlib\\backends\\backend_agg.py:201: RuntimeWarning: Glyph 8722 missing from current font.\n",
      "  font.set_text(s, 0, flags=flags)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df = pd.DataFrame(np.random.randn(1000, 4), columns=[\"股票A\",\"股票B\",\"股票C\",\"股票D\"])\n",
    "df = df.cumsum()\n",
    "# plt.figure();\n",
    "df.plot();\n",
    "# df.show();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "array = np.arange(10)\n",
    "array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x249914c88e0>]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(array) \n",
    "# plt.show() # 为什么不需要这句话就可以画图呢？"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "array = np.array([3.5, 1.6, 7.3, 8.2, 5.0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(array)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x24991587850>]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(array)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x249915e79d0>]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 360x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(5,3),facecolor = 'red')\n",
    "plt.plot(array)\n",
    "# plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "https://www.kaggle.com/sanikamal/data-visualization-using-matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<function matplotlib.pyplot.show(close=None, block=None)>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "years=[1,1000,1500,1600,1700,1750,1800,1850,1900,1950,1955,1960,1965,1970,1980,1985,1990,\n",
    "       1995,2000,2005,2010,2015]\n",
    "pops=[200,400,458,580,682,791,1000,1262,1650,2525,2758,3018,3322,3682,\n",
    "      4061,4440,4853,5310,5735,6127,6520,7349]\n",
    "plt.plot(years,pops)\n",
    "plt.show"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "list"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(years)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "numpy.ndarray"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(array)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>names</th>\n",
       "      <th>jan_ir</th>\n",
       "      <th>feb_ir</th>\n",
       "      <th>march_ir</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Nick</td>\n",
       "      <td>123</td>\n",
       "      <td>23</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Sani</td>\n",
       "      <td>124</td>\n",
       "      <td>24</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>John</td>\n",
       "      <td>125</td>\n",
       "      <td>25</td>\n",
       "      <td>7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Rubi</td>\n",
       "      <td>126</td>\n",
       "      <td>27</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Maya</td>\n",
       "      <td>128</td>\n",
       "      <td>29</td>\n",
       "      <td>9</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  names  jan_ir  feb_ir  march_ir\n",
       "0  Nick     123      23         3\n",
       "1  Sani     124      24         5\n",
       "2  John     125      25         7\n",
       "3  Rubi     126      27         6\n",
       "4  Maya     128      29         9"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "raw_data={'names':['Nick','Sani','John','Rubi','Maya'],\n",
    "         'jan_ir':[123,124,125,126,128],\n",
    "         'feb_ir':[23,24,25,27,29],\n",
    "         'march_ir':[3,5,7,6,9]}\n",
    "\n",
    "df=pd.DataFrame(raw_data,columns=['names','jan_ir','feb_ir','march_ir'])\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "pandas.core.frame.DataFrame"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x249913d7e50>]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(df['jan_ir'],df['feb_ir'])\n",
    "# plt.show"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\jacky.huang\\Anaconda3\\lib\\site-packages\\matplotlib\\backends\\backend_agg.py:238: RuntimeWarning: Glyph 8722 missing from current font.\n",
      "  font.set_text(s, 0.0, flags=flags)\n",
      "C:\\Users\\jacky.huang\\Anaconda3\\lib\\site-packages\\matplotlib\\backends\\backend_agg.py:201: RuntimeWarning: Glyph 8722 missing from current font.\n",
      "  font.set_text(s, 0, flags=flags)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df = pd.DataFrame(np.random.randn(1000, 4), columns=[\"股票A\",\"股票B\",\"股票C\",\"股票D\"])\n",
    "df = df.cumsum()\n",
    "# plt.figure();\n",
    "df.plot();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'dataframe photo'}>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\jacky.huang\\Anaconda3\\lib\\site-packages\\matplotlib\\backends\\backend_agg.py:238: RuntimeWarning: Glyph 8722 missing from current font.\n",
      "  font.set_text(s, 0.0, flags=flags)\n",
      "C:\\Users\\jacky.huang\\Anaconda3\\lib\\site-packages\\matplotlib\\backends\\backend_agg.py:201: RuntimeWarning: Glyph 8722 missing from current font.\n",
      "  font.set_text(s, 0, flags=flags)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.plot(style=\"k--\",title='dataframe photo')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'dataframe photo'}>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\jacky.huang\\Anaconda3\\lib\\site-packages\\matplotlib\\backends\\backend_agg.py:238: RuntimeWarning: Glyph 8722 missing from current font.\n",
      "  font.set_text(s, 0.0, flags=flags)\n",
      "C:\\Users\\jacky.huang\\Anaconda3\\lib\\site-packages\\matplotlib\\backends\\backend_agg.py:201: RuntimeWarning: Glyph 8722 missing from current font.\n",
      "  font.set_text(s, 0, flags=flags)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.plot(linestyle=\"dashed\", title='dataframe photo')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.plot.bar();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.plot.hist();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\jacky.huang\\Anaconda3\\lib\\site-packages\\matplotlib\\backends\\backend_agg.py:238: RuntimeWarning: Glyph 8722 missing from current font.\n",
      "  font.set_text(s, 0.0, flags=flags)\n",
      "C:\\Users\\jacky.huang\\Anaconda3\\lib\\site-packages\\matplotlib\\backends\\backend_agg.py:201: RuntimeWarning: Glyph 8722 missing from current font.\n",
      "  font.set_text(s, 0, flags=flags)\n"
     ]
    },
    {
     "data": {
      "image/png": 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o8EfAX2Xmgwt9PJ3wLhp4K3B/RNwA/BZwCc0XLpuBfwQeiohfornqOQY8Brwf+BHwaLvsMwCZuTkzH2mnv5GZwzjgScn6vDMzL8/MX87MX8zMxxb0SAZDyfrMzLwlM9+Wmddn5rBdwZc+N9/UDjl674IeRRfsi6YVEedl5sn2KbXzMnNu+9vsdX8VeCgzX1i4Ei4u1mdZ1mc5w1SXBrwkVcomGkmqlAEvSZUy4CWpUga8JFXKgJekSv0f0opgoVJZ7YQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.plot.box();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\jacky.huang\\Anaconda3\\lib\\site-packages\\matplotlib\\backends\\backend_agg.py:238: RuntimeWarning: Glyph 8722 missing from current font.\n",
      "  font.set_text(s, 0.0, flags=flags)\n",
      "C:\\Users\\jacky.huang\\Anaconda3\\lib\\site-packages\\matplotlib\\backends\\backend_agg.py:201: RuntimeWarning: Glyph 8722 missing from current font.\n",
      "  font.set_text(s, 0, flags=flags)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.plot.kde();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "# df.plot.area();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "ename": "TypeError",
     "evalue": "scatter() missing 2 required positional arguments: 'x' and 'y'",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-25-c731b2ddb4a2>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mdf\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mscatter\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m;\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[1;31mTypeError\u001b[0m: scatter() missing 2 required positional arguments: 'x' and 'y'"
     ]
    }
   ],
   "source": [
    "df.plot.scatter();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "df.plot.hexbin();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "df.plot.pie();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "df.plot(subplots=True, sharex=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import seaborn as sns\n",
    "# sns.set_theme(color_codes=True)\n",
    "tips = sns.load_dataset(\"tips\")\n",
    "sns.lmplot(x=\"total_bill\", y=\"tip\", hue=\"smoker\", data=tips);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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